Answer
$$4+4i-(13+17i)=-13i-9$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4+4i-(13+17i)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}4+4i-13-17i \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-13i-9\end{aligned} $$ | |
| ① | Remove the parentheses by changing the sign of each term within them. $$ - \left( 13+17i \right) = -13-17i $$ |
| ② | Combine like terms: $$ \color{blue}{4} + \color{red}{4i} \color{blue}{-13} \color{red}{-17i} = \color{red}{-13i} \color{blue}{-9} $$ |
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